Jianjun Zhang (Chongqing Jiaotong University) - 25/03/2022
In this talk, we present a novel approach to study the existence, non-existence and multiplicity of prescribed mass positive solutions to a Schrodinger equation of the form −∆u + λu = g(u) u ∈ H1 (RN ) N ≥ 1. This approach permits to handle in a unified way nonlinearities g(s) which are either mass subcritical, mass critical or mas supercritical. Among its main ingredients is the study of the asymptotic behaviours of the positive solutions as λ → 0+ or λ → +∞ and the existence of an unbounded continuum of solutions in (0, +∞) × H1(RN ). This talk is based on joint work with Prof. Louis Jeanjean and Prof. Xuexiu Zhong.
In this talk, we present a novel approach to study the existence, non-existence and multiplicity of prescribed mass positive solutions to a Schrodinger equation of the form −∆u + λu = g(u) u ∈ H1 (RN ) N ≥ 1. This approach permits to handle in a unified way nonlinearities g(s) which are either mass subcritical, mass critical or mas supercritical. Among its main ingredients is the study of the asymptotic behaviours of the positive solutions as λ → 0+ or λ → +∞ and the existence of an unbounded continuum of solutions in (0, +∞) × H1(RN ). This talk is based on joint work with Prof. Louis Jeanjean and Prof. Xuexiu Zhong.